A calculation method for the in-plane stable bearing capacity of aluminum alloy portal frame

Abstract

The present invention relates to a method for calculating the in-plane stable bearing capacity of an aluminum alloy portal frame. The present invention aims to solve the problem of checking the in-plane stable bearing capacity of an aluminum alloy portal frame under the action of a vertical uniformly distributed load. The in-plane stable bearing capacity of a main frame of the aluminum alloy portal frame is controlled by the vertical displacement of the mid-span of the aluminum alloy portal frame beam and the horizontal displacement of the column top. The load action form of the main frame of the aluminum alloy portal frame is a vertical uniformly distributed load. The cross-sectional dimensions of the beams and columns of the main frame of the aluminum alloy portal frame are consistent. The beam-column nodes, beam-beam nodes and column foot nodes of the main frame of the aluminum alloy portal frame are all rigidly connected. The present invention can quickly complete the checking of the in-plane stable bearing capacity of the main frame of the aluminum alloy portal frame, thereby ensuring the safety of the main frame of the aluminum alloy portal frame, and can also be used for the design of the cross-sectional dimensions of the main frame of the aluminum alloy portal frame.

Description

Technical Field

[0001] The present invention relates to the technical field of civil engineering, and more specifically, to a method for calculating the in-plane stable bearing capacity of an aluminum alloy portal frame. The method can be used to check the in-plane stable bearing capacity of a main frame of the aluminum alloy portal frame. Background Art

[0002] Aluminum alloy structures have light weight and high material strength, but the compressive instability they cause is a problem that cannot be ignored.

[0003] The bearing capacity of aluminum alloy structural systems is often controlled by structural stability. If the relevant calculations and technologies are not handled properly, the aluminum alloy structure may become unstable or even collapse.

[0004] At present, the stability bearing capacity verification method of portal frames is mainly concentrated in the field of steel structures, and the stability bearing capacity verification related to the stability of aluminum alloy portal frames is basically blank.

[0005] In view of this, the present invention proposes a method for calculating the in-plane stable bearing capacity of an aluminum alloy portal frame to solve the above problem. Summary of the invention

[0006] In order to overcome the above-mentioned defects of the prior art and to achieve the above-mentioned purpose, the present invention provides the following technical solutions:

[0007] A method for checking the in-plane stable bearing capacity of an aluminum alloy portal frame main frame comprises an aluminum alloy portal frame main frame, wherein the load action form of the aluminum alloy portal frame main frame is a vertical uniformly distributed load, and the cross-sectional dimensions of the beams and columns of the aluminum alloy portal frame main frame are consistent; the beam-column nodes, beam-beam nodes and column foot nodes of the aluminum alloy portal frame main frame are all rigidly connected;

[0008] The following steps are involved:

[0009] Step 1: According to the geometric dimensions of the main frame of the aluminum alloy portal frame and the material properties of the aluminum alloy, calculate the vertical displacement of the mid-span of the aluminum alloy portal frame beam and the horizontal displacement of the column top:

[0010] Where: f is the maximum vertical displacement in the middle of the beam span, Δ is the horizontal displacement of the column top, q is the uniformly distributed load, l is the span of the door, h is the column height, E is the elastic modulus of the aluminum alloy, I is the section moment of inertia, A is the cross-sectional area, and θ is the angle between the beam and the column;

[0011] Step 2: According to the span of the main frame of the aluminum alloy portal frame and the beam-column angle, look up in Table 1 to determine the vertical and horizontal displacement limits;

[0012] Table 1 In-plane vertical and horizontal instability displacement limits

[0013] Step 3: Compare the maximum vertical and horizontal displacements calculated in step 1 with the corresponding displacement limits in step 2. If the calculated vertical and horizontal displacements are both less than the limits, the in-plane stable bearing capacity of the main frame of the aluminum alloy portal frame meets the requirements, otherwise it does not.

[0014] Furthermore, the specific design process of the cross-sectional dimensions of the beams and columns of the main frame of the aluminum alloy portal frame is as follows:

[0015] Determine the cross-sectional dimensions of the beams and columns of the main frame of the aluminum alloy portal frame according to the following formula:

[0016] Where: q is the uniformly distributed load, l is the span of the door, h is the column height, E is the elastic modulus of the aluminum alloy, I is the section moment of inertia, A is the cross-sectional area, θ is the angle, [f] and [Δ] are the vertical and horizontal displacement limits

[0017] The technical effects and advantages of the method for calculating the in-plane stable bearing capacity of an aluminum alloy portal frame of the present invention are as follows:

[0018] 1. This technical solution can quickly complete the verification of the in-plane stable bearing capacity of the main frame of the aluminum alloy portal frame, thereby ensuring the safety of the main frame of the aluminum alloy portal frame.

[0019] 2. This technical solution can be used to design the cross-sectional dimensions of the main frame of the aluminum alloy portal frame. BRIEF DESCRIPTION OF THE DRAWINGS

[0020] In order to more clearly illustrate the technical solution of the present invention, the following will introduce the drawings in the embodiments. The following drawings only show some embodiments of the present invention, and therefore should not be considered as limiting the scope of the present invention.

[0021] Figure 1 It is a structural schematic diagram of the main frame of the aluminum alloy portal frame in the present invention.

[0022] Figure 2 It is a schematic diagram of the force mechanism of the main frame of the aluminum alloy portal frame in the present invention. DETAILED DESCRIPTION

[0023] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention. Example

[0024] See also Figure 1 and 2 As shown, the method for calculating the in-plane stable bearing capacity of an aluminum alloy portal frame described in this embodiment can be used to check the in-plane stable bearing capacity of a main frame of an aluminum alloy portal frame.

[0025] See also Figure 1 As shown, a method for checking the in-plane stability bearing capacity of the main frame of an aluminum alloy portal frame is applicable to aluminum alloy portal frame structures with the same cross-sectional dimensions of beams and columns.

[0026] See also Figure 2 As shown, a method for checking the in-plane stable bearing capacity of an aluminum alloy portal frame main frame comprises an aluminum alloy portal frame main frame, the load action form of the aluminum alloy portal frame main frame is a vertical uniformly distributed load, and the cross-sectional dimensions of the beams and columns of the aluminum alloy portal frame main frame are consistent; the beam-column nodes, beam-beam nodes and column foot nodes of the aluminum alloy portal frame main frame are all rigidly connected;

[0027] The following steps are involved:

[0028] Step 1: Calculate the vertical displacement of the aluminum alloy portal frame beam mid-span and the horizontal displacement of the column top according to the geometric dimensions of the aluminum alloy portal frame main frame and the material properties of the aluminum alloy;

[0029] Where: f is the maximum vertical displacement in the middle of the beam span, Δ is the horizontal displacement of the column top, q is the uniformly distributed load, l is the span of the door, h is the column height, E is the elastic modulus of the aluminum alloy, I is the section moment of inertia, A is the cross-sectional area, and θ is the angle between the beam and the column;

[0030] Step 2: According to the span of the main frame of the aluminum alloy portal frame and the beam-column angle, look up in Table 1 to determine the vertical and horizontal displacement limits;

[0031] Table 1 In-plane vertical and horizontal instability displacement limits

[0032] Step 3: Compare the maximum vertical and horizontal displacements calculated in step 1 with the corresponding displacement limits in step 2. If the calculated vertical and horizontal displacements are both less than the limits, the in-plane stable bearing capacity of the main frame of the aluminum alloy portal frame meets the requirements, otherwise it does not.

[0033] That is, when the vertical displacement at the mid-span of the beam and the horizontal displacement at the top of the column of the aluminum alloy portal frame main frame are both less than the displacement limit, the in-plane stable bearing capacity of the aluminum alloy portal frame main frame meets the requirements. Example

[0034] See also Figure 1 and Figure 2As shown, the present invention proposes a method for checking the in-plane stable bearing capacity of an aluminum alloy portal frame main frame, including an aluminum alloy portal frame main frame, and the specific design process of the beam and column cross-sectional dimensions of the aluminum alloy portal frame main frame is:

[0035] Determine the cross-sectional dimensions of the beams and columns of the main frame of the aluminum alloy portal frame according to the following formula:

[0036] Where: q is the uniformly distributed load, l is the span of the door, h is the column height, E is the elastic modulus of the aluminum alloy, I is the section moment of inertia, A is the cross-sectional area, θ is the angle, [f] and [Δ] are the vertical and horizontal displacement limits (see Table 1 for details).

[0037] The present invention has the following advantages:

[0038] 1. This technical solution can quickly complete the verification of the in-plane stable bearing capacity of the main frame of the aluminum alloy portal frame, thereby ensuring the safety of the main frame of the aluminum alloy portal frame.

[0039] 2. This technical solution can be used to design the cross-sectional dimensions of the main frame of the aluminum alloy portal frame.

[0040] The above is only a specific embodiment of the present invention, but the protection scope of the present invention is not limited thereto. Any person skilled in the art can easily think of changes or substitutions within the technical scope disclosed by the present invention, which should be included in the protection scope of the present invention. Therefore, the protection scope of the present invention should be based on the protection scope of the claims.

[0041] Finally: The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention should be included in the protection scope of the present invention.

Claims

1. A method for calculating the in-plane stable bearing capacity of an aluminum alloy portal frame, comprising an aluminum alloy portal frame main frame, characterized in that: The load action form of the aluminum alloy portal frame main frame is a vertical uniformly distributed load, and the cross-sectional dimensions of the beams and columns of the aluminum alloy portal frame main frame are consistent; the beam-column nodes, beam-beam nodes and column foot nodes of the aluminum alloy portal frame main frame are all rigidly connected; The following steps are involved: Step 1: According to the geometric dimensions of the main frame of the aluminum alloy portal frame and the material properties of the aluminum alloy, calculate the vertical displacement of the mid-span of the aluminum alloy portal frame beam and the horizontal displacement of the column top: Where: f is the maximum vertical displacement in the middle of the beam span, Δ is the horizontal displacement of the column top, q is the uniformly distributed load, l is the span of the door, h is the column height, E is the elastic modulus of the aluminum alloy, I is the section moment of inertia, A is the cross-sectional area, and θ is the angle between the beam and the column; Step 2: According to the span of the main frame of the aluminum alloy portal frame and the beam-column angle, look up in Table 1 to determine the vertical and horizontal displacement limits; Table 1 In-plane vertical and horizontal instability displacement limits Step 3: Compare the maximum vertical and horizontal displacements calculated in step 1 with the corresponding displacement limits in step 2. If the calculated vertical and horizontal displacements are both less than the limits, the in-plane stable bearing capacity of the main frame of the aluminum alloy portal frame meets the requirements, otherwise it does not.

2. The method for calculating the in-plane stable bearing capacity of an aluminum alloy portal frame according to claim 1 is characterized in that: The specific design process of the cross-sectional dimensions of the beams and columns of the main frame of the aluminum alloy portal frame is as follows: Determine the cross-sectional dimensions of the beams and columns of the main frame of the aluminum alloy portal frame according to the following formula: Where: q is the uniformly distributed load, l is the span of the door, h is the column height, E is the elastic modulus of the aluminum alloy, I is the section moment of inertia, A is the cross-sectional area, θ is the angle, [f] and [Δ] are the vertical and horizontal displacement limits.

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